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12 Nov 2019
Let F be the linear transformation that orthogonally projects each vector in R^3 onto the plane defined by x+2âyâ2âz=0
a) Enter an orthonormal basis for the subspace defined by the plane
b)Use this basis to find a formula for the orthogonal projection of the vector [x,y,z] onto the plane.
Enter formulas for the three coordinates in the form [2*x/3+y/5, -z-y, 2*x+y].
c)Hence enter F(3,2,1) using square brackets as above.
Let F be the linear transformation that orthogonally projects each vector in R^3 onto the plane defined by x+2âyâ2âz=0
a) Enter an orthonormal basis for the subspace defined by the plane
b)Use this basis to find a formula for the orthogonal projection of the vector [x,y,z] onto the plane.
Enter formulas for the three coordinates in the form [2*x/3+y/5, -z-y, 2*x+y].
c)Hence enter F(3,2,1) using square brackets as above.
Collen VonLv2
5 Aug 2019
